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Volumn 15, Issue 4, 1999, Pages 485-506

Dynamic Programming for Multidimensional Stochastic Control Problems

Author keywords

Dynamic programming; Impulse control; Singular control; Stochastic control; Viscosity solutions

Indexed keywords


EID: 0345856234     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-999-0081-5     Document Type: Article
Times cited : (12)

References (20)
  • 5
    • 0001437093 scopus 로고
    • A class of singular stochastic control problems
    • I Karatzas. A class of singular stochastic control problems. Adv Appl Probability, 1983, 15: 225-254
    • (1983) Adv Appl Probability , vol.15 , pp. 225-254
    • Karatzas, I.1
  • 6
    • 0021520672 scopus 로고
    • Connections between optimal stopping and singular stochastic control I. Monotone follower problems
    • I Karatzas, S E Shreve. Connections between optimal stopping and singular stochastic control I. monotone follower problems. SIAM J Contr & Optim, 1984, 22: 856-877
    • (1984) SIAM J Contr & Optim , vol.22 , pp. 856-877
    • Karatzas, I.1    Shreve, S.E.2
  • 7
    • 0041114620 scopus 로고
    • Absolutely continuous and singular stochastic control
    • J P Lehoczky, S E Shreve. Absolutely continuous and singular stochastic control. Stochastics, 1986, 17: 91-109.
    • (1986) Stochastics , vol.17 , pp. 91-109
    • Lehoczky, J.P.1    Shreve, S.E.2
  • 8
    • 0346987842 scopus 로고
    • Discontinuous reflection, and a class of singular stochastic control problems for diffusion
    • J Ma. Discontinuous reflection, and a class of singular stochastic control problems for diffusion. Stochastics & Stochastics Reports, 1993, 44: 225-252
    • (1993) Stochastics & Stochastics Reports , vol.44 , pp. 225-252
    • Ma, J.1
  • 10
    • 0012219336 scopus 로고
    • Finite horizon stochastic optimal switching and impulse controls with a viscosity solution approach
    • S Tang, J Yong. Finite horizon stochastic optimal switching and impulse controls with a viscosity solution approach. Stochastics & Stochastics Reports, 1993, 45: 145-176
    • (1993) Stochastics & Stochastics Reports , vol.45 , pp. 145-176
    • Tang, S.1    Yong, J.2
  • 12
    • 0026867793 scopus 로고
    • Invesment-consumption models with transaction fees and Markov-chain parameters
    • T Zariphopoulou. Invesment-consumption models with transaction fees and Markov-chain parameters. SIAM J Contr & Optim. 1992, 30: 613-636
    • (1992) SIAM J Contr & Optim. , vol.30 , pp. 613-636
    • Zariphopoulou, T.1
  • 13
    • 0000637746 scopus 로고
    • Portfolio selection with transaction costs
    • M H A Davis, A R Norman. Portfolio selection with transaction costs. Math Oper Res, 1990, 15: 676-713
    • (1990) Math Oper Res , vol.15 , pp. 676-713
    • Davis, M.H.A.1    Norman, A.R.2
  • 15
    • 0024628016 scopus 로고
    • Optimal correction problem of a multidimensional stochastic system
    • J L Menaldi, M I Taksar. Optimal correction problem of a multidimensional stochastic system. Automatica, 1989, 25: 223-232
    • (1989) Automatica , vol.25 , pp. 223-232
    • Menaldi, J.L.1    Taksar, M.I.2
  • 16
    • 0040093026 scopus 로고
    • Zero-sum differential games involving impulse controls
    • J Yong. Zero-sum differential games involving impulse controls. Appl Math Optim, 1994, 29: 243-261.
    • (1994) Appl Math Optim , vol.29 , pp. 243-261
    • Yong, J.1
  • 17
    • 0029308403 scopus 로고
    • Singular control of stochastic differential equations I: Existence of optimal controls
    • U G Haussmann, W Suo. Singular control of stochastic differential equations I: existence of optimal controls. SIAM J Control & Optim, 1995, 33: 916-936
    • (1995) SIAM J Control & Optim , vol.33 , pp. 916-936
    • Haussmann, U.G.1    Suo, W.2
  • 18
    • 0029310130 scopus 로고
    • Singular control of stochastic differential equations II: Dynamic programming
    • U G Haussmann, W Suo. Singular control of stochastic differential equations II: dynamic programming. SIAM J Control & Optim, 1995, 33: 937-959
    • (1995) SIAM J Control & Optim , vol.33 , pp. 937-959
    • Haussmann, U.G.1    Suo, W.2
  • 20
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M G Crandall, H Ishii, P-L Lions. User's guide to viscosity solutions of second order partial differential equations. Bull Amer Math Soc (NS), 1992, 27: 1-67
    • (1992) Bull Amer Math Soc (NS) , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.